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102022220220102 = 23271337245496441
BaseRepresentation
bin10111001100100111100110…
…001100100000011011000110
3111101020020011221102111220200
4113030213212030200123012
5101333013001334020402
61000552205544111330
730326601503330160
oct2714474614403306
9441206157374820
10102022220220102
112a564420667226
12b53870b165546
1344c0867045c40
141b29c8a7a9930
15bbdc733cb21c
hex5cc9e63206c6

102022220220102 has 144 divisors (see below), whose sum is σ = 279610941328992. Its totient is φ = 26179743490560.

The previous prime is 102022220220101. The next prime is 102022220220133. The reversal of 102022220220102 is 201022022220201.

102022220220102 is a `hidden beast` number, since 10 + 202 + 2 + 220 + 220 + 10 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102022220220101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20505799 + ... + 24990642.

It is an arithmetic number, because the mean of its divisors is an integer number (1941742648118).

Almost surely, 2102022220220102 is an apocalyptic number.

102022220220102 is an abundant number, since it is smaller than the sum of its proper divisors (177588721108890).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102022220220102 is a wasteful number, since it uses less digits than its factorization.

102022220220102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45496543 (or 45496503 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 102022220220102 its reverse (201022022220201), we get a palindrome (303044242440303).

The spelling of 102022220220102 in words is "one hundred two trillion, twenty-two billion, two hundred twenty million, two hundred twenty thousand, one hundred two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 37 39 42 63 74 78 91 111 117 126 182 222 234 259 273 333 481 518 546 666 777 819 962 1369 1443 1554 1638 2331 2738 2886 3367 4107 4329 4662 6734 8214 8658 9583 10101 12321 17797 19166 20202 24642 28749 30303 35594 53391 57498 60606 86247 106782 124579 160173 172494 249158 320346 373737 747474 1121211 2242422 45496441 90992882 136489323 272978646 318475087 409467969 591453733 636950174 818935938 955425261 1182907466 1683368317 1774361199 1910850522 2866275783 3366736634 3548722398 4140176131 5050104951 5323083597 5732551566 8280352262 10100209902 10646167194 11783578219 12420528393 15150314853 21883788121 23567156438 24841056786 30300629706 35350734657 37261585179 43767576242 62284627729 65651364363 70701469314 74523170358 106052203971 124569255458 131302728726 153186516847 186853883187 196954093089 212104407942 306373033694 373707766374 393908186178 435992394103 459559550541 560561649561 809700160477 871984788206 919119101082 1121123299122 1307977182309 1378678651623 1619400320954 2429100481431 2615954364618 2757357303246 3923931546927 4858200962862 5667901123339 7287301444293 7847863093854 11335802246678 14574602888586 17003703370017 34007406740034 51011110110051 102022220220102